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1016356440 = 233511269997
BaseRepresentation
bin111100100101000…
…101111001011000
32121211110020221010
4330211011321120
54040141401230
6244504013520
734120613211
oct7445057130
92554406833
101016356440
11481785700
122444612a0
13132746058
1498da8408
155e3629b0
hex3c945e58

1016356440 has 96 divisors (see below), whose sum is σ = 3351504240. Its totient is φ = 246385920.

The previous prime is 1016356427. The next prime is 1016356457. The reversal of 1016356440 is 446536101.

1016356440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1016356398 and 1016356407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20479 + ... + 49518.

Almost surely, 21016356440 is an apocalyptic number.

1016356440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1016356440 is an abundant number, since it is smaller than the sum of its proper divisors (2335147800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1016356440 is a wasteful number, since it uses less digits than its factorization.

1016356440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70033 (or 70018 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1016356440 is about 31880.3456693932. The cubic root of 1016356440 is about 1005.4226879695.

The spelling of 1016356440 in words is "one billion, sixteen million, three hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14520 69997 139994 209991 279988 349985 419982 559976 699970 769967 839964 1049955 1399940 1539934 1679928 2099910 2309901 2799880 3079868 3849835 4199820 4619802 6159736 7699670 8399640 8469637 9239604 11549505 15399340 16939274 18479208 23099010 25408911 30798680 33878548 42348185 46198020 50817822 67757096 84696370 92396040 101635644 127044555 169392740 203271288 254089110 338785480 508178220 1016356440